A very small needle valve is used to control the flow of air in a \(\frac{1}{8}\)-in. air line. The valve has a pressure drop of \(4.0 \mathrm{psi}\) at a flow rate of \(0.005 \mathrm{ft}^{3} / \mathrm{s}\) of \(60{ }^{\circ} \mathrm{F}\) air. Tests are performed on a large, geometrically similar valve and the results are used to predict the performance of the smaller valve. How many times larger can the model valve be if \(60^{\circ} \mathrm{F}\) water is used in the test and the water flow rate is limited to \(7.0 \mathrm{gal} / \mathrm{min}\) ?